SOLUTION: Without calculator or log book;write in single log term log 2x3-log4x2+2log2x logx2+3log2x-log2x3

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Question 1056331: Without calculator or log book;write in single log term
log 2x3-log4x2+2log2x
logx2+3log2x-log2x3

Answer by Edwin McCravy(20065)   (Show Source): You can put this solution on YOUR website!



Use this rule on the first two terms: "The difference of 
two logs is the log of a quotient":



Simplify  to 



Use this rule on the second term: "The coefficient
of a log becomes an exponent of what the log is of"



Write  as  and as 



Use this rule: "The sum of two logs is the log of a 
product":



Simplify:



See if you can do the other one by yourself using the
same rules.  If you have trouble, ask me to help you
in the email form below and I'll get back to you by
email. (No charge ever.  I do this for fun!)

Edwin

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